198609917831136 has 576 divisors, whose sum is σ = 696105895500288. Its totient is φ = 52424504377344.

The previous prime is 198609917831131. The next prime is 198609917831179. The reversal of 198609917831136 is 631138719906891.

198609917831136 is a `hidden beast` number, since 1 + 9 + 8 + 609 + 9 + 1 + 7 + 8 + 3 + 1 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×198609917831136² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198609917831131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649678576 + ... + 649984208.

It is an arithmetic number, because the mean of its divisors is an integer number (1208517179688).

Almost surely, 2^{198609917831136} is an apocalyptic number.

198609917831136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198609917831136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052947750144).

198609917831136 is an abundant number, since it is smaller than the sum of its proper divisors (497495977669152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198609917831136 is a wasteful number, since it uses less digits than its factorization.

198609917831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306023 (or 306012 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 198609917831136 in words is "one hundred ninety-eight trillion, six hundred nine billion, nine hundred seventeen million, eight hundred thirty-one thousand, one hundred thirty-six".